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Finding the Fourth Proportional to 522,856.88, 721,542.43 and 296,502.38

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Solution

The fourth proportional to 522,856.88, 721,542.43 and 296,502.38 is: 409,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,856.88 : 721,542.43 = 296,502.38 : x
  2. Step 2: Convert to fraction form
    522,856.88/721,542.43 = 296,502.38/x
  3. Step 3: Cross multiply
    522,856.88x = 721,542.43 × 296,502.38
  4. Step 4: Simplify right side
    522,856.88x = 213,939,047,765.98
  5. Step 5: Solve for x
    x = 213,939,047,765.98/522,856.88
  6. Step 6: Final answer
    x = 409,173.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.